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Finding the Fourth Proportional to 81,794.45, 122,642.13 and 53,352.65

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Solution

The fourth proportional to 81,794.45, 122,642.13 and 53,352.65 is: 79,996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.45 : 122,642.13 = 53,352.65 : x
  2. Step 2: Convert to fraction form
    81,794.45/122,642.13 = 53,352.65/x
  3. Step 3: Cross multiply
    81,794.45x = 122,642.13 × 53,352.65
  4. Step 4: Simplify right side
    81,794.45x = 6,543,282,637.14
  5. Step 5: Solve for x
    x = 6,543,282,637.14/81,794.45
  6. Step 6: Final answer
    x = 79,996.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.